Spectrum

Functions
template<class T1 >
arma::cx_vec	sp::spectrum (const arma::Col< T1 > &x, const arma::vec &W)
template<class T1 >
arma::vec	sp::psd (const arma::Col< T1 > &x, const arma::vec &W)
template<class T1 >
arma::vec	sp::psd (const arma::Col< T1 > &x)
template<class T1 >
arma::cx_mat	sp::specgram_cx (const arma::Col< T1 > &x, const arma::uword Nfft=512, const arma::uword Noverl=256)
template<class T1 >
arma::mat	sp::specgram (const arma::Col< T1 > &x, const arma::uword Nfft=512, const arma::uword Noverl=256)
template<class T1 >
arma::mat	sp::specgram_ph (const arma::Col< T1 > &x, const arma::uword Nfft=512, const arma::uword Noverl=256)
template<class T1 >
arma::vec	sp::pwelch_ph (const arma::Col< T1 > &x, const arma::uword Nfft=512, const arma::uword Noverl=256)
template<class T1 >
arma::vec	sp::pwelch (const arma::Col< T1 > &x, const arma::uword Nfft=512, const arma::uword Noverl=256)
template<class T1 >
std::complex< double >	sp::goertzel (const arma::Col< T1 > &x, const double f)
template<class T1 >
arma::cx_vec	sp::goertzel (const arma::Col< T1 > &x, const arma::vec f)

Detailed Description

Function Documentation

goertzel() [1/2]

template<class T1 >

std::complex<double> sp::goertzel	(	const arma::Col< T1 > &	x,
		const double	f
	)

DFT calculation of a single frequency using Goertzel's method.

For more details see Sysel and Rajmic

Returns

The DFT of frequency f

Parameters

x	Input vector
f	Frequency index

Definition at line 193 of file spectrum.h.

References sp::PI_2.

Referenced by sp::goertzel().

goertzel() [2/2]

template<class T1 >

arma::cx_vec sp::goertzel	(	const arma::Col< T1 > &	x,
		const arma::vec	f
	)

DFT calculation of a vector of frequencies using Goertzel's method.

For more details see Sysel and Rajmic

Returns

The DFT of frequency f

Parameters

x	Input vector
f	Frequency index vector

Definition at line 233 of file spectrum.h.

References sp::goertzel().

Here is the call graph for this function:

psd() [1/2]

template<class T1 >

arma::vec sp::psd	(	const arma::Col< T1 > &	x,
		const arma::vec &	W
	)

Power spectrum density calculation using windowed data.

Returns

A real valued PSD vector

Parameters

x	Input vector
W	Window function vector. NB! Must be same size as input vector

Definition at line 37 of file spectrum.h.

References sp::spectrum().

Referenced by sp::psd().

Here is the call graph for this function:

psd() [2/2]

template<class T1 >

arma::vec sp::psd

(

const arma::Col< T1 > &

x

)

Power spectrum density calculation using Hamming windowed data.

Returns

A real valued PSD vector

Parameters

x	Input vector

Definition at line 51 of file spectrum.h.

References sp::hamming(), and sp::psd().

Here is the call graph for this function:

pwelch()

template<class T1 >

arma::vec sp::pwelch	(	const arma::Col< T1 > &	x,
		const arma::uword	Nfft = 512,
		const arma::uword	Noverl = 256
	)

Power spectrum calculation using Welch's method.

abs(pwelch(x,Nfft,Noverl)) is equivalent to Matlab's: pwelch(x,Nfft,Noverl,'twosided','power')
See Welch's method at Wikipedia

Returns

A power spectrum vector

Parameters

x	Input vector
Nfft	FFT size
Noverl	FFT overlap size

Definition at line 175 of file spectrum.h.

References sp::specgram().

Here is the call graph for this function:

pwelch_ph()

template<class T1 >

arma::vec sp::pwelch_ph	(	const arma::Col< T1 > &	x,
		const arma::uword	Nfft = 512,
		const arma::uword	Noverl = 256
	)

Phase spectrum calculation using Welch's method.

See Welch's method at Wikipedia

Returns

A phase spectrum vector

Parameters

x	Input vector
Nfft	FFT size
Noverl	FFT overlap size

Definition at line 155 of file spectrum.h.

References sp::specgram_ph().

Here is the call graph for this function:

specgram()

template<class T1 >

arma::mat sp::specgram	(	const arma::Col< T1 > &	x,
		const arma::uword	Nfft = 512,
		const arma::uword	Noverl = 256
	)

Power spectrogram calculation.

See spectrogram at Wikipedia

Returns

A power spectrogram matrix

Parameters

x	Input vector
Nfft	FFT size
Noverl	FFT overlap size

Examples:

spectrum.cpp.

Definition at line 114 of file spectrum.h.

References sp::specgram_cx().

Referenced by main(), and sp::pwelch().

Here is the call graph for this function:

specgram_cx()

template<class T1 >

arma::cx_mat sp::specgram_cx	(	const arma::Col< T1 > &	x,
		const arma::uword	Nfft = 512,
		const arma::uword	Noverl = 256
	)

Spectrogram calculation using Hamming windowed data.

See spectrogram at Wikipedia

Returns

A complex spectrogram matrix

Parameters

x	Input vector
Nfft	FFT size
Noverl	FFT overlap size

Definition at line 68 of file spectrum.h.

References sp::hamming(), and sp::spectrum().

Referenced by sp::specgram(), and sp::specgram_ph().

Here is the call graph for this function:

specgram_ph()

template<class T1 >

arma::mat sp::specgram_ph	(	const arma::Col< T1 > &	x,
		const arma::uword	Nfft = 512,
		const arma::uword	Noverl = 256
	)

Phase spectrogram calculation.

See spectrogram at Wikipedia

Returns

A phase spectrogram matrix

Parameters

x	Input vector
Nfft	FFT size
Noverl	FFT overlap size

Definition at line 134 of file spectrum.h.

References sp::angle(), and sp::specgram_cx().

Referenced by sp::pwelch_ph().

Here is the call graph for this function:

spectrum()

template<class T1 >

arma::cx_vec sp::spectrum	(	const arma::Col< T1 > &	x,
		const arma::vec &	W
	)

Windowed spectrum calculation.

The spectrum is calculated using the fast fourier transform of the windowed input data vector

Returns

A complex spectrum vector

Parameters

x	Input vector
W	Window function vector. NB! Must be same size as input vector

Definition at line 23 of file spectrum.h.

Referenced by sp::psd(), and sp::specgram_cx().